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Welfare Lower Bounds and Strategyproofness in the Queueing Problem

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  • Youngsub Chun
  • Duygu Yengin

Abstract

We investigate the implications of welfare lower bounds together with queue-efficiency and strategyproofness in the context of the queueing problem. As a consequence, we provide alternative characterizations of the k-pivotal mechanisms (Mitra and Mutuswami [13]). First, we introduce the k-welfare lower bound, which ensures that no agent is worse off than the case where she is assigned to the kth position in the queue without any monetary transfer. For each k; we show that the k-pivotal mechanisms generate the minimal budget deficit in each queueing problem among all mechanisms satisfying queue-efficiency, strategyproofness and the k-welfare lower bound. Next, we consider a well-known welfare lower bound, the identical preferences lower bound and show that when there are odd number of agents, the k-pivotal mechanisms with k = n+1 2 generate the minimal budget deficit in each queueing problem among all mechanisms satisfying queue-efficiency, strategyproofness and the identical preferences lower bound.

Suggested Citation

  • Youngsub Chun & Duygu Yengin, 2014. "Welfare Lower Bounds and Strategyproofness in the Queueing Problem," Working Paper Series no93, Institute of Economic Research, Seoul National University.
  • Handle: RePEc:snu:ioerwp:no93
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    Cited by:

    1. Yengin, Duygu & Chun, Youngsub, 2020. "No-envy, solidarity, and strategy-proofness in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 87-97.
    2. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    3. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "Egalitarianism in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 48-56.
    4. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2019. "Recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 1-23, April.
    5. Banerjee, Sreoshi & De, Parikshit & Mitra, Manipushpak, 2020. "A welfarist approach to sequencing problems with incentives," MPRA Paper 107188, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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